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# To observe and calculate the acceleration of gravity by measuring displacements and times.

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Introduction

Acceleration of Gravity Purpose: To observe and calculate the acceleration of gravity by measuring displacements and times. Hypothesis: The rate of acceleration will be slightly less than 9.8m/s2 due to friction from the ticker timer and the pulley. Materials: * Recording Timer * Timer Tape * Carbon-paper Disks * C-clamp * Masking Tape * 250g mass * Centimeter Ruler * Stopwatch Procedure: 1. Arrange the recording timer on a convenient table top and clamp it to the edge of the table using the c-clamp. 2. Calibrate the timer using a stopwatch and a piece of tape. Divide the total dots by the total time to find the dots per second. Do this three times and average the results for an accurate calibration. 3. Attach a pulley on the opposite edge of the table. 4. Measure out a 3 lengths of string that reach from the ticker timer to the outer edge of the pulley. 5. Prepare three strips of timer tape by taping each to a length of string measured above. 6. Tie the 250g weight to the opposite edge of the string and place on the pulley. Then feed the length of timer tape through the timer. ...read more.

Middle

30.8 � 6.16 27.55 � 5.51 31.75 � 6.35 27 � 5.4 1.97 2.05 1.84 2.12 1.8 16 33.4 � 6.68 34.9 � 6.98 31.1 � 6.22 35.1 � 7.02 30.65 � 6.13 2.09 2.18 1.94 2.19 1.92 17 37.4 � 7.48 38.8 � 7.76 34.75 � 6.95 39.55 � 7.91 34.4 � 6.88 2.2 2.28 2.04 2.33 2.02 18 41.55 � 8.31 41.7 � 8.34 39.05 � 7.81 44.8 � 8.96 38.6 � 7.72 2.31 2.32 2.17 2.49 2.14 19 46.35 � 9.27 45.95 � 9.19 43.8 � 8.76 49.2 � 9.84 43.15 � 8.63 2.44 2.42 2.3 2.59 2.27 20 51.35 � 10.27 50.2 � 10.04 48.2 � 9.64 54.3 � 10.86 47.36 � 9.47 2.57 2.51 2.41 2.72 2.37 21 56.15 � 11.23 55.65 � 11.13 53.1 � 10.62 59.0 � 11.8 52.05 � 10.41 2.67 2.65 2.53 2.81 2.48 22 60.95 � 12.19 60.75 � 12.15 58.1 � 11.62 64.4 � 12.88 57.25 � 11.45 2.77 2.76 2.64 2.93 2.6 Data Analysis: Analysis Questions: 1. The increase of velocity in a uniformly accelerated motion increases at a constant rate; therefore the slope is linear in a velocity vs. time graph. ...read more.

Conclusion

From the start, students calibrated their timers with huge margins of error, resulting in permanently skewed data. The mere fact the timer was place horizontally on the table, demanding the need of a pulley to change vertical motion into horizontal motion, resulted in the primary cause of such an off-scale answer. The paper dragged through the ticker timer's guide rails considerably slowed the acceleration, and the need for a pulley also was a factor in hindering the calculations from accurate results. Modifications: Modifications to this lab could greatly improve the accuracy of the results and ease the process of obtaining those results. Clearer instructions could have been given, especially on the data requested. Many students had trouble understanding the poor dittos, and ended up calculating data tables more than once due to misunderstandings. The procedure could have been improved, especially by the vertical attachment of the ticker timer to a wall or post. Without the need to change vector directions or the need for pulleys, the friction could be greatly reduced. If a larger displacement had been available, more accurate results could have been obtained simply from the diminishing percentage of error as the range increased. In addition, more accurate calibrations could be taken by increasing the length of time per calibration, lowering the percent error for reaction times. ...read more.

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